Question

If the current of a circuit is 1.5 A, and the power is 24 W. what is the resistor?

Answer 1

Answer:

The resistor has a resistance of 10.667 ohms.

Explanation:

By Ohm's Law, voltage ($V$), in volts, is directly proportional to the current ($i$), in amperes, and by definition of power ($\dot W$), in watts, we have the following formula:

$\dot W = i^{2}\cdot R$ (1)

Where $R$ is the resistance, in ohms.

If we know that $\dot W = 24\,W$ and $i = 1.5\,A$, then the resistance of the resistor is:

$R = \frac{\dot W}{i^{2}}$

$R = 10.667\,\Omega$

The resistor has a resistance of 10.667 ohms.